Universal function for a weighted space Lμ1[0,1] View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2017-12

AUTHORS

Artsrun Sargsyan, Martin Grigoryan

ABSTRACT

It is shown that there exist such a function g∈L1[0,1] and a weight function 0<μ(x)≤1 that g is universal for the weighted space Lμ1[0,1] with respect to signs of its Fourier–Walsh coefficients.

PAGES

1457-1482

References to SciGraph publications

  • 2016-01. On behavior of Fourier coefficients by Walsh system in JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS (ARMENIAN ACADEMY OF SCIENCES)
  • 2007-10. Series with monotone coefficients by Walsh system in JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS (ARMENIAN ACADEMY OF SCIENCES)
  • 2015-05. Nonlinear approximation by the trigonometric system in weighted Lμp spaces in JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS (ARMENIAN ACADEMY OF SCIENCES)
  • 1952-12. Sequences of derivatives and normal families in JOURNAL D'ANALYSE MATHÉMATIQUE
  • Journal

    TITLE

    Positivity

    ISSUE

    4

    VOLUME

    21

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11117-017-0479-8

    DOI

    http://dx.doi.org/10.1007/s11117-017-0479-8

    DIMENSIONS

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